285343344 has 320 divisors, whose sum is σ = 999936000. Its totient is φ = 76723200.

The previous prime is 285343343. The next prime is 285343367. The reversal of 285343344 is 443343582.

285343344 is a `hidden beast` number, since 285 + 34 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 285343299 and 285343308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285343343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1914982 + ... + 1915130.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^285343344 is an apocalyptic number.

285343344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285343344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

285343344 is an abundant number, since it is smaller than the sum of its proper divisors (714592656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

285343344 is a wasteful number, since it uses less digits than its factorization.

285343344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 285343344 is about 16892.1089269517. The cubic root of 285343344 is about 658.3485987096.

It can be divided in two parts, 28534 and 3344, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 285343344 in words is "two hundred eighty-five million, three hundred forty-three thousand, three hundred forty-four".